Error Threshold for Color Codes and Random 3-Body Ising Models

Details Error Threshold for Color Codes and Random 3-Body Ising Models Error Threshold for Color Codes and Random 3-Body Ising Models

2009-02-27

arxiv.org/abs/0902.4845v2

Phys. Rev. Lett. 103, 090501 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures, 1 table

Scientific paper

10.1103/PhysRevLett.103.090501

We study the error threshold of color codes, a class of topological quantum codes that allow a direct implementation of quantum Clifford gates suitable for entanglement distillation, teleportation and fault-tolerant quantum computation. We map the error-correction process onto a statistical mechanical random 3-body Ising model and study its phase diagram via Monte Carlo simulations. The obtained error threshold of p_c = 0.109(2) is very close to that of Kitaev's toric code, showing that enhanced computational capabilities does not necessarily imply lower resistance to noise.

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